Prof Gennady Mishuris

MSc, PhD (Leningrad), DSc (Cracow)

Prof Gennady Mishuris


Royal Society Wolfson Research Merit Award Holder

Contact Details


Gennady Mishuris is Professor of Mathematical Modelling at the Institute of Mathematics and Physics of Aberystwyth University. This position has been recently established by the Wales Institute for Mathematical and Computational Sciences in 2007. He works in the area of Applied Mathematics and Computational Modelling.



Research Interests

  • Singular integral equations, functional equations of the Wiener-Hopf type.
  • Mathematical modelling of problems of solid mechanics: BVPs with irregular boundaries, singular fields, composites with imperfect interfaces, waves in complex structures.
  • Mathematical modelling in rheology: plastic and visco-plastic materials.
  • Engineering applications: crack propagation, metal forming, material testing.

Awards and Research Fellowships

  • Marie Curie Fellowship, University of Liverpool, UK, 2005
  • Liverhulme Trust Visiting Research Fellowship, LSBU, UK, 2004
  • Prize of Polish Ministry of Education for Scientific Research, Poland, 2000
  • Alexander von Humboldt Fellowship, Erlangen-Nuremberg University, Germany, 1999
  • Research Fellowship, Warsaw University, Poland, 1991

Research Groups


A nonlinear problem for the Laplace equation with a degenerating Robin conditionMusolino, P. & Mishuris, G. 2018 In : Mathematical Methods in the Applied Sciences.41, 13, p. 5211-522919 p.
Frictional Indentation of an Elastic Half-SpaceArgatov, I. & Mishuris, G. 2018 Indentation Testing of Biological Materials.Springer Nature, Vol. 91, p. 215-229 (Advanced Structured Materials)
Indentation Testing of Biological MaterialsArgatov, I. & Mishuris, G. 2018 1st ed.Springer Nature. 396 p. (Advanced Structured Materials)
On the impact of tangential traction on the crack surfaces induced by fluid in hydraulic fracture: Response to the letter of A. M. Linkov. Int. Eng. Sci. (2018), XX-XXWrobel, M., Mishuris, G. & Piccolroaz, A. 2018 In : International Journal of Engineering Science.
Admissible Steady-State Regimes of Crack Propagation in a Square-Cell LatticeGorbushin, N. & Mishuris, G. 2018 In : Mechanics of Solids. 541
Dynamic fracture of a discrete media under moving loadGorbushin, N. & Mishuris, G. 2018 In : International Journal of Solids and Structures.130-131, p. 280-29516 p.
Regular approximate factorization of a class of matrix-function with an unstable set of partial indicesMishuris, G. & Rogosin, S. 2017 (Accepted/In press) In : Proceedings of the Royal Society of Edinburgh, Section A: Mathematics.474, 0170279
Redirection of a crack driven by viscous fluidPerkowska, M., Piccolroaz, A., Wrobel, M. & Mishuris, G. 2017 In : International Journal of Engineering Science.121, p. 182-19312 p.
Influence of fracture criteria on dynamic fracture propagation in a discrete chainGorbushin, N., Vitucci, G., Volkov, G. & Mishuris, G. 2017 In : International Journal of Fracture.p. 1-12
An asymptotic model for the deformation of a transversely isotropic, transversely monogeneous biphasic cartilage layerVitucci, G., Argatov, I. & Mishuris, G. 2017 In : Mathematical Methods in the Applied Sciences.40, 9, p. 3333-3347
Cylindrical lateral depth-sensing indentation of anisotropic elastic tissues: Effects of adhesion and incompressibilityArgatov, I. & Mishuris, G. 2017 In : Journal of Adhesion.
Transient wave in a transformable periodic flexural structureNieves, M. J., Mishuris, G. S. & Slepyan, L. I. 2017 In : International Journal of Solids and Structures.
Three-dimensional contact of transversely isotropic transversely homogeneous cartilage layers: A closed-form solutionVitucci, G. & Mishuris, G. 2017 In : European Journal of Mechanics - A/Solids.65, p. 195-204
On the concept of "far points" in Hertz contact problemsArgatov, I., Kachanov, M. & Mishuris, G. 2017 In : International Journal of Engineering Science.113, p. 20-3617 p.
Energy release rate in hydraulic fracture: Can we neglect an impact of the hydraulically induced shear stress?Wrobel, M., Mishuris, G. & Piccolroaz, A. 2017 In : International Journal of Engineering Science.111, p. 28-51
Articular Contact Mechanics From an Asymptotic Modeling Perspective: a ReviewArgatov, I. & Mishuris, G. 2016 In : Frontiers in Bioengineering and Biotechnology.4, 83
Analysis of dynamic damage propagation in discrete beam structuresNieves, M. J., Mishuris, G. & Slepyan, L. I. 2016 In : International Journal of Solids and Structures.97-98, p. 699-713
Resolution of the threshold fracture energy paradox for solid particle erosionPeck, D. T., Volkov, G., Mishuris, G. & Petrov, Y. 2016 In : Philosophical Magazine.
An approximate JKR model of elliptical contact between thin incompressible elastic coatings covering rigid cylindersArgatov, I., Mishuris, G. & Popov, V. 2016 In : Tribology Letters.64, 12
Pipette aspiration testing of soft tissues: the elastic half-space model revisitedArgatov, I. & Mishuris, G. 2016 In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.472, 2193, 20160559